The mean proportional of $0.25$ and $0.04$ is

Find a fourth proportional to the numbers $60, 48, 30$.

The ratio between the present ages of Indira and Lizzy is $3:8$,respectively. After $8 \text{ yr}$,Indira's age will be $20 \text{ yr}$. What was Lizzy's age $5 \text{ yr}$ ago (in $\text{yr}$)?

Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. The difference between the greatest and the smallest numbers is $36$. The numbers are:

Out of the number of qualified candidates from State $P$ in $2008,$ the respective ratio of male and female candidates is $11: 7.$ If the number of female qualified candidates from State $P$ in $2008$ is $126,$ what is the total number of qualified candidates (both male and female) from State $P$ in $2008?$

The ratio between the present ages of $A$ and $B$ is $5:3$ respectively. The ratio between $A$'s age $4$ years ago and $B$'s age $4$ years hence is $1:1$. What is the ratio between $A$'s age $4$ years hence and $B$'s age $4$ years ago?